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122010213122320 = 24572714243147289
BaseRepresentation
bin11011101111011110110111…
…011010011000000100010000
3121000000001200112102020220011
4123233132313122120010100
5111443003404024403240
61111254415040324304
734461642551614105
oct3357366732300420
9530001615366804
10122010213122320
1135970271564a56
1211826491613694
13531068a87b593
14221b47c0bcaac
15e18b7408d6ea
hex6ef7b7698110

122010213122320 has 80 divisors (see below), whose sum is σ = 284085816094080. Its totient is φ = 48733201769472.

The previous prime is 122010213122299. The next prime is 122010213122341. The reversal of 122010213122320 is 23221312010221.

It is an interprime number because it is at equal distance from previous prime (122010213122299) and next prime (122010213122341).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 122010213122291 and 122010213122300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828299236 + ... + 828446524.

It is an arithmetic number, because the mean of its divisors is an integer number (3551072701176).

Almost surely, 2122010213122320 is an apocalyptic number.

122010213122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010213122320 is an abundant number, since it is smaller than the sum of its proper divisors (162075602971760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122010213122320 is a wasteful number, since it uses less digits than its factorization.

122010213122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162272 (or 162266 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122010213122320 its reverse (23221312010221), we get a palindrome (145231525132541).

The spelling of 122010213122320 in words is "one hundred twenty-two trillion, ten billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 727 1454 2908 3635 5816 7270 11632 14243 14540 28486 29080 56972 58160 71215 113944 142430 147289 227888 284860 294578 569720 589156 736445 1139440 1178312 1472890 2356624 2945780 5891560 10354661 11783120 20709322 41418644 51773305 82837288 103546610 107079103 165674576 207093220 214158206 414186440 428316412 535395515 828372880 856632824 1070791030 1713265648 2097837227 2141582060 4195674454 4283164120 8391348908 8566328240 10489186135 16782697816 20978372270 33565395632 41956744540 83913489080 167826978160 1525127664029 3050255328058 6100510656116 7625638320145 12201021312232 15251276640290 24402042624464 30502553280580 61005106561160 122010213122320